"Vector calculus" Essays and Research Papers

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    3D Gradient Vector Flow Matlab Implementation Gradient Vector Flow (to the right) calculated on the volume to the left. Gradient Vector Flow (GVF) is a feature-preserving diffusion of gradient information. It was originally introduced by Xu and Prince to drive snakes‚ or active contours‚ towards edges of interest in image segmentation. But GVF is also used for detection of tubular structures and skeletonization. In this post I present a simple Matlab implementation of GVF for 3D images which

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    Before we can discuss both definite and indefinite integrals one must have sufficient and perfect understanding of the word integral or integration. So the questions that arise from this will be “what is integral or integration?”‚ “why do we need to know or study integral or integration?” and if we understand its concept then “what are its purposes’? These questions should be answered clearly to give a clear‚ precise meaning and explanation to definite and indefinite integrals. To answer the first

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    Simple Harmonic Motion

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    Shanise Hawes 04/04/2012 Simple Harmonic Motion Lab Introduction: In this two part lab we sought out to demonstrate simple harmonic motion by observing the behavior of a spring. For the first part we needed to observe the motion or oscillation of a spring in order to find k‚ the spring constant; which is commonly described as how stiff the spring is. Using the equation Fs=-kx or‚ Fs=mg=kx; where Fs is the force of the spring‚ mg represents mass times gravity‚ and kx is the spring constant

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    Extrema

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    [Type the company name] 10 extrema Types‚ formula usage‚ and applications fzfairy Extrema Definition of an Extrema The extrema of a function f are the values where f is either a maximum or a minimum.  More rigorously‚ we have Let f be a function defined on the interval (a‚b) containing the point c. Then * f has minimum at c if f(c) < f(x) for all x in (a‚b). * f has maximum at c if f(c) > f(x) for all x in (a‚b). The following definition gives the types of minimums

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    Precalculus Midterm 1 Practice Test Part I: Non Calculator Portion(2/3 of grade) 1. State the domain of each a. fx=3x+4 b. gx=22x2+x. 2. Sketch the graph of each. c. fx=x d. gx=2x+4+3 e. hx=x f. kx=-x-2-4 3. Write the function in vertex form. Then state the vertex. g. fx=x2-6x+17 h. gx=2x2-16x+25 4. Determine the real and complex zeros of the function. i. fx=x3+5x2+x-10 j. gx=x3-9x2+4x-36 5. Perform the

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    Even and Odd Functions

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    Table of Contents Definitions of Even & Odd Functions 2 Algebraic Definition 2 Graphic Definition 4 Combining Even & Odd Functions 6 Multiplication 6 Addition 7 Integrals of Even & Odd Functions 7 Fourier Series: Even & Odd Functions 9 Arbitrary Period (2L) 9 Case of Period 2π 10 References 14 Algebraic Definitions 1) Even Function: 2) Odd Function: Algebraically You may be asked to "determine algebraically" whether a function is even or odd. To do

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    3.3 Derivatives of Trigonometric Functions Math 1271‚ TA: Amy DeCelles 1. Overview You need to memorize the derivatives of all the trigonometric functions. If you don’t get them straight before we learn integration‚ it will be much harder to remember them correctly. (sin x) = cos x (cos x) = − sin x (tan x) = sec2 x (sec x) = sec x tan x (csc x) = − csc x cot x (cot x) = − csc2 x A couple of useful limits also appear in this section: lim

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    Dan Apple

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    Nguyễn Hà Dân – SB0768 MSSV:SB60543Ho Hoa Binh la sieu di ngua‚ Ban gai cu cua Hoang Anh chim lonhahahahahaha Find the two lines that are tangent to y = x2- 2x+1 and pass through the point (5‚7). Call (d) is the equation of the tangent to y = x2- 2x+1‚ pass through the point (5‚7) and have slope k y – y0 = k(x – x0) y – 7 = k(x – 5) y = kx – k5 + 7 we slove system of equations The two lines that are tangent is: y=8x – 47 y=2x – 17 Find limx→1x-1x2+3-2 3. The circumference

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    Derivative Problem

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    A Honda Civic travels in a straight line along a road. It’s distance x from a stop sign is given as a function of time t by the equation‚ where and. Calculate the velocity of the car for each of the time given: (a) t = 2.00s; (b) t = 4.00s; (c) What will be the time when the acceleration is equal to zero? Solution: By getting the derivative of the distance as a function of time we can get the velocity as a function of time.   Substitute the values of α and β  

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    Laplace Transformation

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    Laplace Transformation Laplace transformation is a Mathematical tool which can be used to solve several problems in science and engineering. The transformed was first introduced by Pierre-Simon Laplace a French Mathematician‚ in the year 1790 in his work on probability theorem. Application of Laplace Transform The Laplace transform technique is applicable in many fields of science and technology such as:  Control Engineering  Communication  Signal Analysis and Design  Image Processing  System

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